pacman -Ql qp-bin
...
qp-bin /usr/share/doc/qp-bin/
qp-bin /usr/share/doc/qp-bin/NEWS
The names of directories you create in "/usr/share/docs" and "/usr/share/licenses" dont get the "-bin"or "-git" appended. It doesn matter if the PKGBUILD is called "XYZ-bin" or "XYZ-git". That's the job for other "tags" like for ex. "Conflicts", "Provides" "Replaces". So it should be,
/usr/share/doc/qp/NEWS
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